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Good on a random number generator, including normal, lognormal distribution, uniform distribution of many random distribution...

很好用的随机数产生器，包含正态分布，对数正态分布，均匀分布等好多随机分布的随机数产生方法。

Both LDPC codes and OFDM technology are studied in this paper. The working and the results obtained are summarized as follow:1. The definition of LDPC codes and its coding/decoding ideas are systematically summarized, a general algorithm of changing any parity-check matrix to lower triangular form, which is suitable for quick encoding, is given out, along with a girth checking algorithm. Absolutely random LDPC codes construction is improved, a new half random construction of LDPC codes with linear time coding and no 4-cycles is brought out.

系统地阐述了低密度校验码的定义及编译码原理，提出了一种将任何校验矩阵变换成适于快速编码的近似下三角形式的通用算法及一种围长检测算法，对完全随机的校验矩阵构造法进行了改进，提出了一类消除4环且可近似线性编码的校验矩阵半随机构造法，仿真表明，在高编码效率情况下，改进后的半随机构造法，其性能稍优于完全随机构造法，并可以线性时间编码，因此更适合实际应用。

Turing machine, random access machine, primitive recursive, cellular automaton, finite state machine, cell probe model, pointer machine, alternation, alternating Turing machine, nondeterministic Turing machine, oracle Turing machine, probabilistic Turing machine, universal Turing machine, quantum computation, parallel models: multiprocessor model, work-depth model, parallel random-access machine, shared memory.

图灵机，随机存取机，原始递归，元胞自动机，有限状态机，细胞探针模型，指针机，交替轮流进行，图灵机，非确定性图灵机，甲骨文图灵机，概率图灵机，通用图灵机，量子计算，并行型号：多模式，工作深入模型，并行随机存取机，共享内存。

As the connection of marginal distribution function, the Copula function may not only reflect the relativity of random variable, but also may describe the random variable's related pattern well. Therefore we may use the different Copula function to describe the different related pattern.

作为连接随机变量边缘分布到联合分布的函数，Copula函数不仅可以反映出随机变量间的相关程度，而且可以较好地描述随机变量间的相关模式，因此可以用不同的Copula函数来表示不同的相关模式。

Put forward digital watermarking method based on wavelet transform and Markov random field.The method that is proposed in the paper brings Markov random field into digital watermarking technique. Uses MRP to model visual impression of image, obtains allowable distortion of every pixel.

3提出了基于小波变换与马尔可夫随机场的数字水印方法本文将马尔可夫随机场引入到数字水印技术中来，利用其对图像视觉效果建模，求取各象素点的允许失真值。

Mathematical expectation is the random variable one of the important features of mathematics, the average value of random variable response to the size, in practical application has a pivotal role.

数学期望是随机变量的重要数学特征之一，它反映随机变量平均取值的大小，在实际应用中有着举足轻重的作用。

METHODS: Both diastolic and systolic blood pressures repeated measures data, collected from 120 drug abusers after taking two kinds of medicine (Drug A: Xiaoyinfuzheng, Drug B: Kelening), were analyzed by multivariate random coefficients model. The fixed effect parameters matrix x of model coefficients were estimated by using least squares estimation method, the effects between treatment groups were compared and the variancecovariance matrices of random effect were also estimated.

对两种药物（A药：消瘾扶正胶囊，B药：可乐宁）治疗120例患者后的舒张压和收缩压重复观测数据进行多变量随机系数模型分析，对模型系数的固定效应参数矩阵ξ作最小二乘估计并进行组间比较，同时估计随机效应的方差协方差矩阵，分析方法用SAS/IML软件编程得以实现。

METHODS: Both diastolic and systolic blood pressures repeated measures data, collected from 120 drug abusers after taking two kinds of medicine (Drug A: Xiaoyinfuzheng, Drug B: Kelening), were analyzed by multivariate random coefficients model. The fixed effect parameters matrix x of model coefficients were estimated by using least squares estimation method, thelunwen114 effects between treatment groups were compared and the variancecovariance matrices of random effect were also estimated. Related analysis methods were programmed with SAS/IML code.

对两种药物（A药：消瘾扶正胶囊，B药：可乐宁）治疗120例患者后的舒张压和收缩压重复观测数据进行多变量随机系数模型分析，对模型系数的固定效应参数矩阵ξ作最小二乘估计并进行组间比较，同时估计随机效应的方差协方差矩阵，分析方法用SAS/IML软件编程得以实现。

Considering the randomness of the structural physical parameters and utilizing the random variable's functional moment method and the algebra synthesis method, the mean value and the variance of the mean square value of the structural displacement response under stationary random excitation are computed firstly from the expressions of structural stationary response in frequency domain. And then the expressions of the mean value and the variance of stochastic rigid frames dynamic reliability are educed from the Poisson formula of calculating dynamic reliability.

考虑结构的物理参数具有随机性，从结构随机响应的频域表达式出发，利用求解随机变量数字特征的代数综合法和矩法，导出随机参数刚架结构在平稳随机激励下的位移及速度响应均方值的数字特征，再由动力可靠性的Poisson公式导出结构动力可靠度的计算公式。

In this paper authors introduce the concept of measurability of a fuzzy random function,and solve the basic theoretical problem of measurability of fuzzy random functions successfully.

本文首次引入了模糊随机函数的可测性的基本概念，并且成功地解决了模糊随机函数的可测性这一最基本的理论问题。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。